Your descriptions are really good and I think you did really well on Hagrid's dialect. I avoid writing dialects because I find it very difficult to write (at least for me).

I like this secluded Draco and I LOVED your description of him having an 'air of indifferent confidence' even though 'internally uncomfortable.' That is a perfect and outstanding way of describing him. He is well practiced at hiding his emotions... you really nailed that part of his personality that contributes to his mystery.

I also liked your reactions that he received from different people... including the girl who must've been living under a rock. That was cute.

Ooooh, is hermione going to be teaching there too? this is interesting, especially seeing as he's turned into some kind of a hermit since the war. sad really. and those one-worded answers he gives make me feel really sorry for him. it makes me think that he's in some kind of internal pain and he needs to open up. hopefully hermione will help him.
9/10 il be waiting for the next chapter